1
QuizMultiple Choice
Modeling with Periodic Functions
Question 1 • Algebra 2 MP 2,3,4 CHS
Mark sits on a swing that is 2.5 feet off the ground. Swinging as hard as he can, the swing reaches a height of 6 feet. Assuming Mark holds a steady pace, the height of the swing could be represented by a cosine curve.If Mark makes a full swing forward and backward in 3 seconds, which graph below could represent the height of the swing, in feet, for any time, t?
Answer
A
On a coordinate plane, seconds is on the x-axis and feet is on the y-axis. A curve starts at (0, 3). It has a maximum of y = 6 and a minimum of y = 3. It goes through 1 cycle in 1.5 seconds.
B
On a coordinate plane, seconds is on the x-axis and feet is on the y-axis. A curve starts at (0, 3). It has a maximum of y = 8 and a minimum of y = 4. It goes through 1 cycle in 1.5 seconds.
C
On a coordinate plane, seconds is on the x-axis and feet is on the y-axis. A curve starts at (0, 3). It has a maximum of y = 6 and a minimum of y = 3. It goes through 1 cycle in 3 seconds.
D
On a coordinate plane, seconds is on the x-axis and feet is on the y-axis. A curve starts at (0, negative 2). It has a maximum of y = 2 and a minimum of y = negative 2. It goes through 1 cycle in 1.5 seconds.